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Simplifying (X + 9y)(4x + -5y) = 0 Multiply (X + 9y) * (4x + -5y) (X(4x + -5y) + 9y * (4x + -5y)) = 0 ((4x * X + -5y * X) + 9y * (4x + -5y)) = 0 ((4xX + -5yX) + 9y * (4x + -5y)) = 0 (4xX + -5yX + (4x * 9y + -5y * 9y)) = 0 (4xX + -5yX + (36xy + -45y2)) = 0 Reorder the terms: (4xX + 36xy + -5yX + -45y2) = 0 (4xX + 36xy + -5yX + -45y2) = 0 Solving 4xX + 36xy + -5yX + -45y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5yX' to each side of the equation. 4xX + 36xy + -5yX + 5yX + -45y2 = 0 + 5yX Combine like terms: -5yX + 5yX = 0 4xX + 36xy + 0 + -45y2 = 0 + 5yX 4xX + 36xy + -45y2 = 0 + 5yX Remove the zero: 4xX + 36xy + -45y2 = 5yX Add '45y2' to each side of the equation. 4xX + 36xy + -45y2 + 45y2 = 5yX + 45y2 Combine like terms: -45y2 + 45y2 = 0 4xX + 36xy + 0 = 5yX + 45y2 4xX + 36xy = 5yX + 45y2 Reorder the terms: 4xX + 36xy + -5yX + -45y2 = 5yX + -5yX + 45y2 + -45y2 Combine like terms: 5yX + -5yX = 0 4xX + 36xy + -5yX + -45y2 = 0 + 45y2 + -45y2 4xX + 36xy + -5yX + -45y2 = 45y2 + -45y2 Combine like terms: 45y2 + -45y2 = 0 4xX + 36xy + -5yX + -45y2 = 0 The solution to this equation could not be determined.
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